135163680 has 96 divisors (see below), whose sum is σ = 430303104. Its totient is φ = 35659776.

The previous prime is 135163669. The next prime is 135163697. The reversal of 135163680 is 86361531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×135163680² = 36538440782284800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45109 + ... + 48011.

It is an arithmetic number, because the mean of its divisors is an integer number (4482324).

Almost surely, 2^135163680 is an apocalyptic number.

135163680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215151552).

135163680 is an abundant number, since it is smaller than the sum of its proper divisors (295139424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135163680 is a wasteful number, since it uses less digits than its factorization.

135163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 135163680 is about 11625.9915706145. The cubic root of 135163680 is about 513.2000253530.

The spelling of 135163680 in words is "one hundred thirty-five million, one hundred sixty-three thousand, six hundred eighty".